Knezevic, David J.; Nguyen, Ngoc-Cuong; Patera, Anthony T. Reduced basis approximation and a posteriori error estimation for the parametrized unsteady Boussinesq equations. (English) Zbl 1279.76023 Math. Models Methods Appl. Sci. 21, No. 7, 1415-1442 (2011). Reviewer: Srinivasan Natesan (Assam) MSC: 76M25 76R10 65M15 PDFBibTeX XMLCite \textit{D. J. Knezevic} et al., Math. Models Methods Appl. Sci. 21, No. 7, 1415--1442 (2011; Zbl 1279.76023) Full Text: DOI
Nguyen, Ngoc-Cuong; Rozza, Gianluigi; Patera, Anthony T. Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. (English) Zbl 1178.65109 Calcolo 46, No. 3, 157-185 (2009). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M15 65M60 35Q53 PDFBibTeX XMLCite \textit{N.-C. Nguyen} et al., Calcolo 46, No. 3, 157--185 (2009; Zbl 1178.65109) Full Text: DOI
Rozza, G.; Huynh, D. B. P.; Patera, A. T. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics. (English) Zbl 1304.65251 Arch. Comput. Methods Eng. 15, No. 3, 229-275 (2008). MSC: 65N30 74S05 65N15 76M10 PDFBibTeX XMLCite \textit{G. Rozza} et al., Arch. Comput. Methods Eng. 15, No. 3, 229--275 (2008; Zbl 1304.65251) Full Text: DOI
Oliveira, I. B.; Patera, A. T. Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations. (English) Zbl 1171.65404 Optim. Eng. 8, No. 1, 43-95 (2007). MSC: 65K10 49J20 49M25 80A20 80M20 PDFBibTeX XMLCite \textit{I. B. Oliveira} and \textit{A. T. Patera}, Optim. Eng. 8, No. 1, 43--95 (2007; Zbl 1171.65404) Full Text: DOI
Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T. Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. (English) Zbl 1142.65078 ESAIM, Math. Model. Numer. Anal. 41, No. 3, 575-605 (2007). MSC: 65M60 65N30 35J25 35J65 35K15 35K55 PDFBibTeX XMLCite \textit{M. A. Grepl} et al., ESAIM, Math. Model. Numer. Anal. 41, No. 3, 575--605 (2007; Zbl 1142.65078) Full Text: DOI Numdam EuDML
Sen, S.; Veroy, K.; Huynh, D. B. P.; Deparis, S.; Nguyen, N. C.; Patera, A. T. “Natural norm” a posteriori error estimators for reduced basis approximations. (English) Zbl 1100.65094 J. Comput. Phys. 217, No. 1, 37-62 (2006). MSC: 65N15 65N30 74S05 76M10 PDFBibTeX XMLCite \textit{S. Sen} et al., J. Comput. Phys. 217, No. 1, 37--62 (2006; Zbl 1100.65094) Full Text: DOI
Grepl, Martin A.; Patera, Anthony T. A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. (English) Zbl 1079.65096 ESAIM, Math. Model. Numer. Anal. 39, No. 1, 157-181 (2005). Reviewer: Emil Minchev (Tokyo) MSC: 65M15 35K15 65M60 PDFBibTeX XMLCite \textit{M. A. Grepl} and \textit{A. T. Patera}, ESAIM, Math. Model. Numer. Anal. 39, No. 1, 157--181 (2005; Zbl 1079.65096) Full Text: DOI Numdam EuDML
Veroy, K.; Patera, A. T. Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basis a posteriori error bounds. (English) Zbl 1134.76326 Int. J. Numer. Methods Fluids 47, No. 8-9, 773-788 (2005). MSC: 76D05 76M30 65N15 PDFBibTeX XMLCite \textit{K. Veroy} and \textit{A. T. Patera}, Int. J. Numer. Methods Fluids 47, No. 8--9, 773--788 (2005; Zbl 1134.76326) Full Text: DOI